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spin [16.1K]
4 years ago
9

..............................

Mathematics
2 answers:
Nikitich [7]4 years ago
5 0

Answer:

D y = 9/x

Step-by-step explanation:

An inverse variation is of the form

xy = k where k is a constant

We can write this as

y = k/x

The only equation that is of this form is

D y = 9/x

vivado [14]4 years ago
4 0

Answer:

\boxed{\mathrm{Option \: D}}

Step-by-step explanation:

Inverse variation is written as:

y=\frac{k}{x}

Where k is the constant of proportionality.

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Solve the following linear quadratic system of equations algebraically.<br><br> y=^2+3x-2<br> y+3=5x
USPshnik [31]

Answer:

x=1

y=2

Step-by-step explanation:

y=x^2+3x-2 , y+3=5x

Replace all occurrences of y in y+3=5x with x^2+3x-2.

(x^2+3x-2)+3=5x

y=x^2+3x-2

Add -2 and 3.

x^2+3x+1=5x

y=x^2+3x-2

Subtract 5x from both sides of the <u>equation.</u>

x^2+3x+1-5x=0

y=x^2+3x-2

Subtract 5x from 3x.

x^2-2x+1=0

y=x^2+3x-2

Rewrite 1 as 1^2.

x^2-2x+1^2=0

y=x^2+3x-2

Check that the middle <u>term</u> is two times the <u>product</u> of the numbers being squared in the first <u>term</u> and third <u>term</u>.

2x=2 · x · 1

y=x^2+3x-2

Rewrite the <u>polynomial</u>.

x^2-2 · x · 1 + 1^2=0

y=x^2+3x-2

Factor using the <u>perfect square</u>

<u>trinomial</u> rule a^2-2ab+b^2=(a-b)^2,

where a = x and b = 1.

(x-1)^2=0

y=x^2+3x-2

<u>Set</u> the x-1 equal to 0.

x-1=0

y=x^2+3x-2

Add 1 to both sides of the <u>equation</u>.

x=1

y=x^2+3x-2

Replace all occurrences of x in

y=x^2+3x-2 with 1.

y=(1)^2+3(1)-2

x=1

y=2

3 0
3 years ago
Multiply. 3√2⋅2√8⋅√3⋅√6 <br><br> explanation would be lit
Delicious77 [7]

When two the same numbers under the square root multiply, they are equal to the value under the square root, for example √2⋅√2 = 2. So then we have:

3√2⋅2√8⋅√3⋅√6 = 3⋅√2⋅2⋅√(2⋅2⋅2)⋅√3⋅√(3⋅2) = 3⋅2⋅√2⋅√2⋅√2⋅√2⋅√2⋅√3⋅√3 = 3⋅2⋅2⋅√2⋅3 = 36⋅√2

or if the bolded 2 from above is also the square root, then the solution is:

3√(2⋅2)√(2⋅2⋅2)⋅√3⋅√(3⋅2) = 54

6 0
3 years ago
Read 2 more answers
Write your own two equations that would have a solution of (3,6)
irinina [24]

Answer:

x + 2y = 15

3x + y = 15

yes that's it haha

8 0
3 years ago
If you were to be driving in a car at a high amount of speed and shot a gun out the window forward (towards the windshield forwa
marin [14]

Answer:

If you shoot the bullet off the back of the car , the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.

Step-by-step explanation:

7 0
3 years ago
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D) (K<br> If f(x) = x3 and g(x) = 2x + 7, what is g(x)<br> when x = 2?
nadya68 [22]

Answer:

11

Step-by-step explanation:

g(x) = 2x + 7

Put x as 2 and evaluate.

g(2) = 2(2) + 7

Multiply.

g(2) = 4 + 7

Add the terms.

g(2) = 11

3 0
3 years ago
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